Answers
The equivalent expressions are (b) (7 * 7)^x , (c) 7^x * 7^x and (e) 7^(2x)
How to determine the equivalent expressions?The expression is given as:
49^x
Express 49 as 7 * 7
(7 * 7)^x ---- option (b)
Express 7 * 7 as an exponent
7^(2x) ---- option (e)
Express 2x as x + x
7^(x +x)
Expand
7^x * 7^x --- option (c)
Hence, the equivalent expressions are (b), (c) and (e)
Read more about equivalent expressions at:
https://brainly.com/question/27911936
#SPJ1
Related Questions
3x - 6y = 8 then x - 2y
Answers
Equations are written by equating two expressionsThe value of x - 2y is 8/3
Solving equations
Equations are written by equating two expressions. Given the following equation
3x - 6y = 8
Divide through by 3 to have:
3x/3 - 6y/3 = 8/3
x - 2y = 8/3
Hence the value of x - 2y is 8/3
Learn more on equation here: https://brainly.com/question/4821928
#SPJ1
don’t understand the question would be a pleasure if someone were to explain and answer the questions! thank you
Answers
For question b, you divide 312 by 4 which would give you 78 terms. This is because the ending term is 319 and the starting term is 7, but since it didn’t start at 1, you had to subtract 319 from 7 to get 312, and then divide 312 by 4, because each term rises by 4.
For question c, you subtract 533 from 33, which would give you 500 terms. This is because it didn’t start at 0, so you have to subtract from the term it started on, which was 33.
I hope this helped.
Find f^-1(x) and it’s domain.
Answers
Answer: A
Step-by-step explanation:
Letting [tex]f(y)=x[/tex],
[tex]x=\sqrt{y}-5\\\\x+5=\sqrt{y}\\\\y=(x+5)^{2}[/tex]
Also, the domain of an inverse is the same as the range of the original function, so the range is [tex]x \geq 0[/tex]
A cookware consultant sells two types of pizza stones. The circular(e) stone sells for $26 and the rectangular (r) one sells for $34. In one month she sold 37 stones. If she made a total of $1138 from the sale of the pizza stones, how many of each size did she sell?
Answers
Answer:
Step-by-step explanation:
Conditions
Let the circular stones = x
Let the rectangular stones = y
Equations
x + y = 37 Subtract x from both sides of this equation.
y = 37 - x Notice that x is on the right side of the equation
Solution
26x + 34y = 1138 Substitute for y
26x + 34(37 - x) = 1138 Remove the brackets
26x + 1258 -34x= 1138 Combine
-8x + 1258 = 1138 Subtract 1258 from both sides
-8x +1258-1258 = 1138-1258 Combine.
-8x = -120 Divide both sides by -8
-8x/-8 = -120/-8
x = 15 Two minuses make a plus (last step)
x+ y = 37
15 + y = 37 Subtract 15 from both sides
15-15 +y = 37-15 Combine
y = 22
Answer
x = 15 Circular pizza dishes
y = 22 square pizza dishes
The consultant sold 15 circular pizza stones and 22 rectangular pizza stones.
How to determine how many of each size did she sell?Let's assume the number of circular pizza stones sold is "c" and the number of rectangular pizza stones sold is "r."
We are given two pieces of information:
1. The total number of stones sold: c + r = 37
2. The total amount earned from the sale of the stones: 26c + 34r = 1138
Now, we can use these two equations to solve for the values of "c" and "r."
First, let's use the first equation to express "c" in terms of "r":
c = 37 - r
Now, substitute this value of "c" into the second equation:
26c + 34r = 1138
26(37 - r) + 34r = 1138
962 - 26r + 34r = 1138
Combine the "r" terms:
8r = 1138 - 962
8r = 176
Now, divide by 8 to find the value of "r":
r = 176 / 8
r = 22
Now that we have the value of "r," we can find the value of "c" using the first equation:
c = 37 - r
c = 37 - 22
c = 15
So, the consultant sold 15 circular pizza stones and 22 rectangular pizza stones.
Learn more about rectangular at https://brainly.com/question/22688504
#SPJ3
Select all the correct answers.
For which values is this expression undefined?
x-1/(x^2-2x-3) + 5/(2x^2+2x)
Answers
The answer choice which represents values for which the expression is undefined is; x = -1.
What value of x renders the expression undefined?It follows from the task content that the expression in discuss is made up of 2 rational expressions and hence, the value of x which makes the expression undefined is -1 because, upon substitution, we have; (1/0) + (5/0); which yields undefined.
Read more on undefined rational expressions;
https://brainly.com/question/13464119
#SPJ1
Answer:
x= 3. x= 0, x= -1
Step-by-step explanation:
Correct on edmentum
G.SRT.1 In the coordinate plane, quadrilateral ABCD has vertices A (1, 1), * 1 point B (5,1), C (5,9), and D (1, 9). Quadrilateral FGHJ is shown in the coordinate plane below. What are the scale factor and the center of dilation that map quadrilateral BCD onto quadrilateral FGHJ?
Answers
Based on the vertices of quadrilateral ABCD and Quadrilateral FGHJ, A. The scale factor is 1/2, and the center of dilation is point A.
What is the scale factor?First, note the vertices of Quadrilateral FGHJ:
F(1,1) G(3 ,1) J (1 , 5) H(3 , 5)
Find the lengths of the sides of both quadrilaterals:
FG = (3, 1) - (1, 1) AB = (5,1) - (1, 1)
= (2,0) = (4, 0)
FH = (3, 5) - (1, 1) AC = (5,9) - (1, 1)
= (2,4) = (4, 8)
AB is twice the size of FG.
AC is twice the size of FH
This shows that quadrilateral FGHJ is 1/2 the size of quadrilateral ABCD.
Find out more on dilation at https://brainly.com/question/10253650.
#SPJ1
+
Select the correct answer.
The parent function f(x)=√ is transformed to g(x)=2x-3). Which is the graph of g(x)?
Answers
The graph is in the attached image.
Solve using the Quadratic Formula. 122+6−5=0
Answers
Step-by-step explanation:
You can't use quadratic formula in this
Determine the composition of transformations that would map figure ABCD to figure A''B'C''D'
Answers
The composition of transformations that would map figure ABCD to figure A''B'C''D' is 180° degree rotation about point C.
What is transformation?It should be noted that transformation simply means the manipulation of a shape or geometric figure.
In this case, the composition of transformations that would map figure ABCD to figure A''B'C''D' is 180° degree rotation about point C.
Learn more about transformation on:
brainly.com/question/4289712
#SPJ1
rewrite y= 16x-32 -3 to make it easy to graph using a translation describe the graph
Answers
We can rewrite the given expression to:
[tex]4*\sqrt{x - 2} - 3[/tex]
So the correct option is the third one.
How to rewrite the expression?
Here we have the expression:
[tex]\sqrt{16x - 32} - 3[/tex]
Taking the 16 as a common factor inside the square root:
[tex]\sqrt{16*(x - 2)} - 3[/tex]
and 16 = 4², then:
[tex]\sqrt{16*(x - 2)} - 3 = \sqrt{4^2*(x - 2)} - 3\\\\4* \sqrt{(x - 2)} - 3[/tex]
Now, if the parent function is:
[tex]y = 4*\sqrt{x}[/tex]
Our function is the parent function translated 2 units to the right and 3 units down. The correct option is the third one
If you want to learn about translations:
https://brainly.com/question/24850937
#SPJ1
LCM of 4x²-100 and 4x + 20
Answers
LCM of 4x²-100 and 4x + 20 is 4(x+5)(x-5)
What is Least Common Multiple?
Least Common Multiple is defined as the smallest number that is a multiple of two or more numbers.
We have to factorise 4x²-100 which is of the form A²-B²,
= (2x)² -(10)²
= (2x+10)(2x-10)
= 2×2(x+5)(x-5)
= 4(x+5)(x-5).
We have to factorise 4x + 20
= 4(x+5)
LCM of 4x²-100 and 4x + 20 = 4(x+5)(x-5).
Hence, LCM of 4x²-100 and 4x + 20 is 4(x+5)(x-5)
Learn more about Least Common Multiple
https://brainly.com/question/11533141
#SPJ1
Sanjeet paid $32.85 for 1 file and 3 identical pens. Leon paid $83.50 for 2 files and 8 identical pens. Find the cost of one such pen
Answers
The cost of the file is $6.15 and the cost of the pen is $8.9
Solving word problems with systems of linear equations.The interpretation of the given word problem leads to a system of linear equations.
From the given information:
Let the file be denoted with f and the pen be denoted with pf + 3p = 32.85 --- (1)
2f + 8p = 83.5 --- (2)
From equation (1)
f = - 3p+32.85
Replace the value of f in the above equation into equation (2)
2(-3p + 32.85) + 8p = 83.5
2p + 65.7 = 83.5
2p = 83.5 -65.7
2p = 17.8
p = 17.8/2
p = 8.9
Replacing the value of p = 8.9 into f = - 3p+32.85
f = -3(8.9)+32.85
f = 6.15
Therefore, we can conclude that the cost of the file is $6.15 and the cost of the pen is $8.9.
Learn more about solving a system of linear equations here:
https://brainly.com/question/13729904
#SPJ1
Assume that the halting language [tex]H_T_M[/tex] is reducible to
some language B ([tex]H_T_M[/tex] [tex]$\leq$[/tex] [tex]_m[/tex] B). Is it possible that is decidable? Answer true/false and explain. Please help me this answer?
Answers
H_TM is reduced to HALT_TM and as such, HALT_TM is undecidable.
How to Interpret Machine Language?A language is referred to as Decidable or Recursive if there is a Turing machine that accepts and halts on every input string w. This tells us that every decidable language is Turing-Acceptable.
Now, we are told that the halting language is reducible to some language B. This means that it is an undecidability via reduction.
Now, Using the idea that “ If A is undecidable and reducible to B, then B is undecidable.” Suppose R decides HALT_TM, we will construct S to decide ATM .
S = “On input (M, B)
This means that H_TM is reduced to HALT_TM and as such, HALT_TM is undecidable.
Read more about machine language at; https://brainly.com/question/28026656
#SPJ1
The next number in the series 7, 9, 13, 29, is:
Answers
Answer:
67
Step-by-step explanation:
7 + 2 =9
9 + 4 = 13
13 + 16 = 29
29 + 38 = 67
please help I will report if wrong... Brainlyest for the first right answer
Answers
Answer:
first three expressions are polynomials and last three are not.
Step-by-step explanation:
last three expression has negative powers of X and some powers of Xs are not integers.
a) The difference between the circumference and the diameter of a circle is 90cmFind the radius of the circle
Answers
Answer:
r=21.01 cm
Step-by-step explanation:
2r = diameter
Circumference of a circle = pi 2r
difference = 90
pi2r - 2r =90
2r (pi-1) =90
90/(2(pi-1) = r = 21.01 cm
Set up an algebraic equation and then solve.
One integer is 4 times another. If the product of the two integers is 256, then find t
integers.
One possible set of answers is:
Another possible set of answers is :
Answers
The first set of integers are: 8 and 32
The second set of integers are: -8 and -32
What is an Integer?An integer is a whole number.
It is also the ratio of any real number and 1.
It does not have a decimal part or the decimal part of the integer is zero.
Analysis:
Let the two inters be x and 4x
product of integers = 4x(x) = 256
4[tex]x^{2}[/tex] = 256
[tex]x^{2}[/tex] = 256/4
[tex]x^{2}[/tex] = 64
x = ±[tex]\sqrt{64}[/tex]
x = -8 0r 8
The other integer = 4 x -8 = -32 or 32
In conclusion the two integers are -8 and -32 or 8 and 32
Learn more about word problems on integers: brainly.com/question/5063017
#SPJ1
What is the value of the function when x = 1 in the
piecewise function
g(x) =
{
3x
-2x
when x>1
when x≤1
Answers
Answer:
-2
Step-by-step explanation:
3x isnt used because it stated when x>1.
so -2(1) is -2, because x =< 1 is true
Solve log 5x = 3
A)
B)
C)
D)
Answers
Answer:
200
Step-by-step explanation:
log a is the same thing as: [tex]log_{10}{a}=b[/tex] which can be rewritten as [tex]10^b=a[/tex] and in general logarithms are in the form [tex]log_ba=c[/tex] which can be written as [tex]b^c=a[/tex]
Rewrite into exponential form
[tex]10^3=5x[/tex]
Simplify exponent
[tex]1000=5x[/tex]
Divide by 5
x=200
Answer:
200
Step-by-step explanation:
I don't know if there are answer choices but the answer is 200
The principal represents an amount of money deposited in a savings account subject to
compound interest at the given rate.
A. Find how much money there will be in the account after the given number of years.
B. Find the interest earned.
Click the icon to view some finance formulas.
A. The amount of money in the account after 5 years is $
(Round to the nearest hundredth as needed.)
Principal
$11,000
Rate
5%
Compounded
annually
Time
5 years
Answers
Step-by-step explanation:
So the general formula for compound interest is [tex]A = P(1+\frac{r}{n})^{nt}[/tex] where t is typically time in years, and n is how many times it's compounded per year. But in this case it's only compounded 1 time per year so the equation is just [tex]A = P(1+r)^t[/tex]. in this case P is the principal amount, r is the interest, and A is the final amount. So the 5% interest rate becomes 0.05 by dividing by 100 to convert it into decimal form and the principle amount of 11,000. This gives you the formula [tex]A = 11000(1.05)^t[/tex]. This is the answer to the first question where t is the time in years. When it says "Find interest earned" I'm a bit confused, is it giving you x amount of years where you have to calculate the interest earned or does it want a general equation? Because the general equation would be the final amount - the principle amount which calculates the difference. So the equation for interest earned would be [tex]11000(1.05)^t-11000[/tex]. To calculate the amount of money after 5 years you simply plug in 5 as t. this gives you the equation [tex]11000(1.05)^5 \approx 11000(1.276) \approx 14,039.10[/tex]
On a unit circle, the terminal point of 0 is (1, 0). What is tan ?
Answers
By using the definitions of unit circle and trigonometric functions, we find that the tangent of the terminal point of the angle is equal to 0.
How to find determine a trigonometric function associated with an unit circle
In trigonometry, an unit circle is a circle with a radius of 1 and used to determine the values of trigonometric functions. There are two fundamental trigonometric functions: (i) sine, (ii) cosine, and the tangent is a derivate trigonometric function, which is defined below:
tan θ = y/x (1)
If we know that x = 1 and y = 0, then the tangent of the terminal point of angle is:
tan θ = 0/1
tan θ = 0
By using the definitions of unit circle and trigonometric functions, we find that the tangent of the terminal point of the angle is equal to 0.
To learn more on trigonometric functions: https://brainly.com/question/6904750
#SPJ1
Answer:
tan= 0
Step-by-step explanation:
^^^correct :)
Which expression correctly represents “twice the sum of four and a number”?
Answers
Answer:
2 (4+x)
Step-by-step explanation:
4 + x is the sum of four and a number 'x' now multiply by 2
2 ( 4+ x)
Identify the key features of the following graph. If the Domain is all real numbers, type in "All Real" into the Domain box.
Answers
The key features of the graph are:
Vertex (-2, -1)Axis of symmetry x = -2y-intercept (0, 3)MinimumDomain, -∞ < x < ∞Range y > = -1How to determine the key features?The graph has a minimum value at (-2, -1)
This represents the vertex
The x coordinate of the vertex is the axis of symmetry.
So, we have
x = -2
The graph crosses the y-axis at (0, 3)
This represents the y-intercept
The graph opens up.
This means that the vertex is minimum.
The domain is the set of all real number, because the graph extends in both directions on the x-axis without end
While the range is y >= -1, because it has a minimum at this point
Read more about functions at:
https://brainly.com/question/3951754
#SPJ1
Answer two questions about Equations A and B:
A. 2x - 1 = 5x
B. - 1 = 3x
1) How can we get Equation B from Equation A?
Choose 1 answer:
A. Add/Subtract the same quantity to/from both sides
B. Add/Subtract a quantity to/from only one side
C. Rewrite one side (or both) by combining like terms
D. Rewrite one side (or both) using the distributive property
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
A. Yes
B. No
Answers
1. Rewrite one side (or both) by combining like terms. Option C
2. Yes, the equations are equivalent. Option A
Reasons for the answers
1.
Equation A ; 2x -1 = 5x
Equation B ; -1 = 3x
To get equation B from equation A
2x - 1 = 5x
Collect like terms
-1 = 5x -2x
Subtract the like terms
-1 = 3x
Thus, rewrite one side (or both) by combining like terms. Option C
2. 2x - 1 = 5x ...... equation A
Solution ;
2x -5x = 1
-3x = 1
x = -1/3
-1 = 3x
Solution;
x = -1/3
Thus, the equations are equivalent. Option A
Learn more about algebraic expressions here:
https://brainly.com/question/4541471
#SPJ1
QUESTION IS DOWN BELOW WORTH 30 POINTS
Answers
Answer:
40 yds^3
Step-by-step explanation:
What is the quotient of
6/7 and 3/14 ?
Answers
Answer:
4/1 or 4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
[tex]\frac{\frac{6}{7} }{\frac{3}{14} } =\frac{(6)(14)}{(7)(3)} =\frac{84}{21} =4[/tex]
Hope this helps
Find the diffrence between 6/7 and 2/3 In lowest terms
Answers
Answer:
4/7
Step-by-step explanation: Multiply 2/3 x 6/7 Put your answer in lowest terms a. 4/7
Answer:
Difference: 4/21
Step-by-step explanation:
the difference between two quantities is the result of a subtraction
[tex]\frac{6}{7} -\frac{2}{3} =\frac{(6)(3)-(7)(2)}{(7)(3)} =\frac{18-14}{21} =\frac{4}{21}[/tex]
The fraction can no longer be reduced
Hope this helps
For the system of inequalities below, which ordered pair is a solution?
3x-y<2
3y<9x-6
Answers
The solution to the given pair of inequalities is at any point on the line
System of inequalitiesInequalities are expressions that are not separated by an equal sign. Given the system of inequalities as shown:
3x-y<2
3y<9x-6
The solution of the system of inequality is the point of intersection of the lines. From the graphed line below, you can see that the point of intersection is at any point on the line since the lines are the same
Learn more on system of inequalities here: https://brainly.com/question/2516147
#SPJ1
Hi, need help please to get my HS diploma...did not graduate :(
Write the point-slope form of an equation of the line through the points (-2, -3) and (-7, 4).
Answers
Answer:
The answer is A Find the point-slope form.
y+3= −7/5 ⋅ (x+2)
Step-by-step explanation:
MATH: GRAPHS AND FUNCTIONS 3. HELP! 12 PTS (HARD)
Answers
Answer:
Step-by-step explanation: